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Comment on "Casimir force in the O(n→∞) model with free boundary conditions"
H W Diehl1, Daniel Grüneberg1, Martin Hasenbusch2
1Fakultät für Physik, Universität Duisburg-Essen, D-47048 Duisburg, Germany.
Abstract:
In a recent paper by D. Dantchev, J. Bergknoff, and J. Rudnick [Phys. Rev. E 89, 042116 (2014)], the problem of the Casimir force in the O(n) model on a slab with free boundary conditions, investigated earlier by us [Europhys. Lett. 100, 10004 (2012)], is reconsidered using a mean-spherical model with separate constraints for each layer. The authors (i) question the applicability of the Ginzburg-Landau-Wilson approach to the low-temperature regime, arguing for the superiority of their model compared to the family of ϕ(4) models A and B whose numerically exact solutions we determined both for values of the coupling constant 0
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